Online GCD Calculator is useful to find the GCD of 909, 201, 198, 772 quickly. Get the easiest ways to solve the greatest common divisor of 909, 201, 198, 772 i.e 1 in different methods as follows.
Given Input numbers are 909, 201, 198, 772
In the factoring method, we have to find the divisors of all numbers
Divisors of 909 :
The positive integer divisors of 909 that completely divides 909 are.
1, 3, 9, 101, 303, 909
Divisors of 201 :
The positive integer divisors of 201 that completely divides 201 are.
1, 3, 67, 201
Divisors of 198 :
The positive integer divisors of 198 that completely divides 198 are.
1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198
Divisors of 772 :
The positive integer divisors of 772 that completely divides 772 are.
1, 2, 4, 193, 386, 772
GCD of numbers is the greatest common divisor
So, the GCD (909, 201, 198, 772) = 1.
Given numbers are 909, 201, 198, 772
The list of prime factors of all numbers are
Prime factors of 909 are 3 x 3 x 101
Prime factors of 201 are 3 x 67
Prime factors of 198 are 2 x 3 x 3 x 11
Prime factors of 772 are 2 x 2 x 193
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 909, 201, 198, 772
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(909, 201) = 60903
GCD(909, 201) = ( 909 x 201 ) / 60903
= 909 / 201
= 909
Step2:
LCM(3, 198) = 198
GCD(3, 198) = ( 3 x 198 ) / 198
= 3 / 198
= 3
Step3:
LCM(3, 772) = 2316
GCD(3, 772) = ( 3 x 772 ) / 2316
= 3 / 772
= 3
So, Greatest Common Divisor of 909, 201, 198, 772 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 909, 201, 198, 772
The greatest common divisor of numbers 909, 201, 198, 772 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 909, 201, 198, 772 is 1.
1. What is the GCD of 909, 201, 198, 772?
GCD of given numbers 909, 201, 198, 772 is 1
2. How to calculate the greatest common divisor of 909, 201, 198, 772?
We can find the highest common divisor of 909, 201, 198, 772 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 909, 201, 198, 772 i.e 1.
3. How can I use the GCD of 909, 201, 198, 772Calculator?
Out the numbers 909, 201, 198, 772 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.